On graphs associated to conjugacy classes of some three-generator groups
A graph consists of points which are called vertices, and connections which are called edges, which are indicated by line segments or curves joining certain pairs of vertices. In this paper, four types of graphs which are the commuting graph, non-commuting graph conjugate graph and the conjugacy cla...
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| Format: | Article |
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Penerbit UTM Press
2017
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| _version_ | 1796862564723851264 |
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| author | Sarmin, N. H. Noor, A. H. M. Omer, S. M. S. |
| author_facet | Sarmin, N. H. Noor, A. H. M. Omer, S. M. S. |
| author_sort | Sarmin, N. H. |
| collection | ePrints |
| description | A graph consists of points which are called vertices, and connections which are called edges, which are indicated by line segments or curves joining certain pairs of vertices. In this paper, four types of graphs which are the commuting graph, non-commuting graph conjugate graph and the conjugacy class graph for some three-generator groups are discussed. Some of the graph properties are also found which include the independent number, chromatic number, clique number and dominating number. |
| first_indexed | 2024-03-05T20:13:32Z |
| format | Article |
| id | utm.eprints-76744 |
| institution | Universiti Teknologi Malaysia - ePrints |
| last_indexed | 2024-03-05T20:13:32Z |
| publishDate | 2017 |
| publisher | Penerbit UTM Press |
| record_format | dspace |
| spelling | utm.eprints-767442018-04-30T14:02:52Z http://eprints.utm.my/76744/ On graphs associated to conjugacy classes of some three-generator groups Sarmin, N. H. Noor, A. H. M. Omer, S. M. S. QA Mathematics A graph consists of points which are called vertices, and connections which are called edges, which are indicated by line segments or curves joining certain pairs of vertices. In this paper, four types of graphs which are the commuting graph, non-commuting graph conjugate graph and the conjugacy class graph for some three-generator groups are discussed. Some of the graph properties are also found which include the independent number, chromatic number, clique number and dominating number. Penerbit UTM Press 2017 Article PeerReviewed Sarmin, N. H. and Noor, A. H. M. and Omer, S. M. S. (2017) On graphs associated to conjugacy classes of some three-generator groups. Jurnal Teknologi, 79 (1). pp. 55-61. ISSN 0127-9696 https://www.scopus.com/inward/record.uri?eid=2-s2.0-85008155975&doi=10.11113%2fjt.v79.8448&partnerID=40&md5=49d7558c0bb152c017b35ddcee0dd247 DOI:10.11113/jt.v79.8448 |
| spellingShingle | QA Mathematics Sarmin, N. H. Noor, A. H. M. Omer, S. M. S. On graphs associated to conjugacy classes of some three-generator groups |
| title | On graphs associated to conjugacy classes of some three-generator groups |
| title_full | On graphs associated to conjugacy classes of some three-generator groups |
| title_fullStr | On graphs associated to conjugacy classes of some three-generator groups |
| title_full_unstemmed | On graphs associated to conjugacy classes of some three-generator groups |
| title_short | On graphs associated to conjugacy classes of some three-generator groups |
| title_sort | on graphs associated to conjugacy classes of some three generator groups |
| topic | QA Mathematics |
| work_keys_str_mv | AT sarminnh ongraphsassociatedtoconjugacyclassesofsomethreegeneratorgroups AT noorahm ongraphsassociatedtoconjugacyclassesofsomethreegeneratorgroups AT omersms ongraphsassociatedtoconjugacyclassesofsomethreegeneratorgroups |